1026564 has 72 divisors (see below), whose sum is σ = 3038784. Its totient is φ = 264000.

The previous prime is 1026563. The next prime is 1026577. The reversal of 1026564 is 4656201.

It is not an unprimeable number, because it can be changed into a prime (1026563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10114 + ... + 10214.

2^1026564 is an apocalyptic number.

1026564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519392).

1026564 is an abundant number, since it is smaller than the sum of its proper divisors (2012220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1026564 is a wasteful number, since it uses less digits than its factorization.

1026564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1026564 is about 1013.1949466909. The cubic root of 1026564 is about 100.8777398530.

It can be divided in two parts, 102 and 6564, that added together give a palindrome (6666).

The spelling of 1026564 in words is "one million, twenty-six thousand, five hundred sixty-four".